2(b-4)-6(b+8)=12(b+4)-(8b-6)

Solution for 2(b-4)-6(b+8)=12(b+4)-(8b-6) equation:

Simplifying
2(b + -4) + -6(b + 8) = 12(b + 4) + -1(8b + -6)

Reorder the terms:
2(-4 + b) + -6(b + 8) = 12(b + 4) + -1(8b + -6)
(-4 * 2 + b * 2) + -6(b + 8) = 12(b + 4) + -1(8b + -6)
(-8 + 2b) + -6(b + 8) = 12(b + 4) + -1(8b + -6)

Reorder the terms:
-8 + 2b + -6(8 + b) = 12(b + 4) + -1(8b + -6)
-8 + 2b + (8 * -6 + b * -6) = 12(b + 4) + -1(8b + -6)
-8 + 2b + (-48 + -6b) = 12(b + 4) + -1(8b + -6)

Reorder the terms:
-8 + -48 + 2b + -6b = 12(b + 4) + -1(8b + -6)

Combine like terms: -8 + -48 = -56
-56 + 2b + -6b = 12(b + 4) + -1(8b + -6)

Combine like terms: 2b + -6b = -4b
-56 + -4b = 12(b + 4) + -1(8b + -6)

Reorder the terms:
-56 + -4b = 12(4 + b) + -1(8b + -6)
-56 + -4b = (4 * 12 + b * 12) + -1(8b + -6)
-56 + -4b = (48 + 12b) + -1(8b + -6)

Reorder the terms:
-56 + -4b = 48 + 12b + -1(-6 + 8b)
-56 + -4b = 48 + 12b + (-6 * -1 + 8b * -1)
-56 + -4b = 48 + 12b + (6 + -8b)

Reorder the terms:
-56 + -4b = 48 + 6 + 12b + -8b

Combine like terms: 48 + 6 = 54
-56 + -4b = 54 + 12b + -8b

Combine like terms: 12b + -8b = 4b
-56 + -4b = 54 + 4b

Solving
-56 + -4b = 54 + 4b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-4b' to each side of the equation.
-56 + -4b + -4b = 54 + 4b + -4b

Combine like terms: -4b + -4b = -8b
-56 + -8b = 54 + 4b + -4b

Combine like terms: 4b + -4b = 0
-56 + -8b = 54 + 0
-56 + -8b = 54

Add '56' to each side of the equation.
-56 + 56 + -8b = 54 + 56

Combine like terms: -56 + 56 = 0
0 + -8b = 54 + 56
-8b = 54 + 56

Combine like terms: 54 + 56 = 110
-8b = 110

Divide each side by '-8'.
b = -13.75

Simplifying
b = -13.75